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211310210200014 = 23341596271600663
BaseRepresentation
bin110000000010111101111110…
…000001000011000111001110
31000201012001120212111122222000
4300002331332001003013032
5210144101302302400024
62025230323114133130
762336441665634502
oct6002757601030716
91021161525448860
10211310210200014
116136a17a8a2992
121b849401a211a6
1390ba60c917bb3
143a2767c33a302
1519669e4486cc9
hexc02f7e0431ce

211310210200014 has 64 divisors (see below), whose sum is σ = 481039740679680. Its totient is φ = 68717572136640.

The previous prime is 211310210199983. The next prime is 211310210200021. The reversal of 211310210200014 is 410002012013112.

211310210200014 is a `hidden beast` number, since 211 + 31 + 0 + 210 + 200 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 211310210200014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131213847 + ... + 132814509.

It is an arithmetic number, because the mean of its divisors is an integer number (7516245948120).

Almost surely, 2211310210200014 is an apocalyptic number.

211310210200014 is an abundant number, since it is smaller than the sum of its proper divisors (269729530479666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211310210200014 is a wasteful number, since it uses less digits than its factorization.

211310210200014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660342 (or 1660336 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211310210200014 its reverse (410002012013112), we get a palindrome (621312222213126).

The spelling of 211310210200014 in words is "two hundred eleven trillion, three hundred ten billion, two hundred ten million, two hundred thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2214 59627 119254 178881 357762 536643 1073286 1600663 1609929 2444707 3201326 3219858 4801989 4889414 7334121 9603978 14405967 14668242 22002363 28811934 43217901 44004726 65627183 66007089 86435802 131254366 132014178 196881549 393763098 590644647 1181289294 1771933941 3543867882 95442732701 190885465402 286328198103 572656396206 858984594309 1717969188618 2576953782927 3913152040741 5153907565854 7826304081482 11739456122223 23478912244446 35218368366669 70436736733338 105655105100007 211310210200014